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emmainna [20.7K]
3 years ago
12

An isosceles triangle has two sides of equal length. The third side is 5 less than twice the length of one of the other sides. I

f the perimeter of the triangle is 23 cm, what is the length of the third side?
Explain how you would define a variable for this problem.

Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
7 0
Let's take one side of the two equal lengths as r
third side is s.
so the total perimeter is r + r + s
2r + s = 23

According to the statement of third side s, 
5 less than twice the length of one of other
s = 2r - 5

we have 2 equations and 2 unknowns. so we can find out the values of those letters.

2r + s = 23
2r - s = 5

4r = 28
r = 7

s = 9
Therefore the third length will be equal to 9 cm.


fredd [130]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

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APEX
Len [333]

Answer:

B. 30

Step-by-step explanation:

A line is 180 degrees, so when we have 100, we subtract that from 180 to get the interior angle of 80.

A triangle has a sum of 180, so we just subtract 80 and 70 from 180 to get 30.

Hope this helps

5 0
3 years ago
Write an equation for the line, given that m= 0 and the y - intercept (0, -2)
stich3 [128]

Remember that the slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

so...

m = 0

b = -2

^^^Plug these numbers into formula

y = 0*x - 2

y = 0 - 2

y = -2

Hope this helped!

~Just a girl in love with Shawn Mendes

3 0
3 years ago
Read 2 more answers
What is -5n+7<57 and 6n+2<8
pishuonlain [190]

Answer:

if -5n+7<57, then n>-10.

if 6n+2<8, then n<1.

Step-by-step explanation:

-5n+7<57

1. subtract 7 from both sides:

-5n+7 -7< 57 -7

-5n<50

2. divide both sides by -5 (remember to flip the sign whenever you divide by a negative number):

-5n ÷-5<50 ÷-5

n>-10

6n+2<8

1. subtract 2 from both sides:

6n+2 -2<8 -2

6n<6

2. divide both sides by 6:

6n ÷6<6 ÷6

n<1

4 0
3 years ago
Plz answer!!!!!!! ASAP!!!!!!!!!!!
Fed [463]

Answer:

814

Step-by-step explanation:

A=2(wl+hl+hw)

=2((11×22)+(5×22))+(5×11))

= 814

5 0
2 years ago
An elliptical culvert is 3.5 feet tall and 6 feet wide. It is filled with water to a depth of 0.95 feet. Find the width of the s
maks197457 [2]

Answer:

W_s \approx5.3

Step-by-step explanation:

From the question we are told that

Height H=3.5ft

Weight W= 6ft

Depth  D=0.95ft

Generally the equation for ellipses is given as

\frac{x^2}{a^2} +\frac{y^2}{b^2} =1

Where

b=H/2\\b=3.5/2\\Therefore\\b=1.75\\a=W/2\\a=6/2\\Therefore\\a=3\\

\frac{x^2}{3^2} +\frac{y^2}{1.75^2} =1

Generally to find y in the equation \frac{x^2}{a^2} +\frac{y^2}{b^2} =1

y=-b+d

y=-1.75+0.95

y=-0.8

Therefore

\frac{x^2}{3^2} +\frac{(0.8)^2}{1.75^2} =1

\frac{x^2}{3^2} =1-\frac{(0.8)^2}{1.75^2}

\frac{x^2}{3^2} =1-0.2089795918

X^2 =3^2(1-0.2089795918)

X^2 =7.119183674

X =\sqrt{7.119183674}

X =2.66817984

Therefore the width of the given stream is

W_s=2.66817984*2

W_s=5.33635968

W_s \approx5.3

3 0
3 years ago
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